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1301248 = 28131723
BaseRepresentation
bin100111101101100000000
32110002222101
410331230000
5313114443
643520144
714026504
oct4755400
92402871
101301248
11809713
12529054
13367390
1425c304
151aa84d
hex13db00

1301248 has 72 divisors (see below), whose sum is σ = 3090528. Its totient is φ = 540672.

The previous prime is 1301243. The next prime is 1301249. The reversal of 1301248 is 8421031.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1301243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56565 + ... + 56587.

It is an arithmetic number, because the mean of its divisors is an integer number (42924).

21301248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264).

1301248 is an abundant number, since it is smaller than the sum of its proper divisors (1789280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1301248 is a wasteful number, since it uses less digits than its factorization.

1301248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1301248 is about 1140.7225780180. The cubic root of 1301248 is about 109.1742017085.

Adding to 1301248 its reverse (8421031), we get a palindrome (9722279).

It can be divided in two parts, 130 and 1248, that added together give a triangular number (1378 = T52).

The spelling of 1301248 in words is "one million, three hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 128 136 184 208 221 256 272 299 368 391 416 442 544 598 736 782 832 884 1088 1196 1472 1564 1664 1768 2176 2392 2944 3128 3328 3536 4352 4784 5083 5888 6256 7072 9568 10166 12512 14144 19136 20332 25024 28288 38272 40664 50048 56576 76544 81328 100096 162656 325312 650624 1301248